Home / 1,648.34-2,473.29-826.70

Finding the Fourth Proportional to 1,648.34, 2,473.29 and 826.70

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Solution

The fourth proportional to 1,648.34, 2,473.29 and 826.70 is: 1,240.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.34 : 2,473.29 = 826.70 : x
  2. Step 2: Convert to fraction form
    1,648.34/2,473.29 = 826.70/x
  3. Step 3: Cross multiply
    1,648.34x = 2,473.29 × 826.70
  4. Step 4: Simplify right side
    1,648.34x = 2,044,668.84
  5. Step 5: Solve for x
    x = 2,044,668.84/1,648.34
  6. Step 6: Final answer
    x = 1,240.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.